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QuanTAlib/lib/statistics/variance/variance.pine
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Miha Kralj 5ed4b6c0fc pine files
2026-01-31 14:05:53 -08:00

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// The MIT License (MIT)
// © mihakralj
//@version=6
indicator("Variance, Dispersion or Spread (VARIANCE)", "VARIANCE", overlay=false)
//@function variance
//@doc https://github.com/mihakralj/pinescript/blob/main/indicators/statistics/variance.md
//@param src {series float} Source series.
//@param len {int} Lookback length. `len` > 0.
//@returns {series float} Variance of `src` for `len` bars back. Returns 0 if not enough data.
variance(series float src, int len) =>
if len <= 0
runtime.error("Period must be greater than 0")
var int p = math.max(1, len)
var array<float> buffer = array.new_float(p, na)
var int head = 0, var int count = 0
var float sum = 0.0, var float sumSq = 0.0
float oldest = array.get(buffer, head)
if not na(oldest)
sum -= oldest
sumSq -= oldest * oldest
count -= 1
float val = nz(src)
sum += val
sumSq += val * val
count += 1
array.set(buffer, head, val)
head := (head + 1) % p
count > 1 ? math.max(0.0, (sumSq / count) - math.pow(sum / count, 2)) : 0.0
// ---------- Main loop ----------
// Inputs
i_period = input.int(14, "Period", minval=1)
i_source = input.source(close, "Source")
// Calculation
variance_value = variance(i_source, i_period)
// Plot
plot(variance_value, "Var", color=color.yellow, linewidth=2)